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arXiv · 1410.8574

Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model

X. T. Wu·D. B. Abraham·J. O. Indekeu
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Abstract

The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included. The wetting transition is critical (second order) for any finite ratio of surface coupling J_s to bulk coupling J, and turns first order in the limit J_s/J to infinity. However, for J_s/J much larger than 1 the critical region is exponentially small and practically invisible to numerical studies. A distinct pre-asymptotic regime exists in which the transition displays first-order character. Surprisingly, in this regime the surface susceptibility and surface specific heat develop a divergence and show anomalous scaling with an exponent equal to 3/2.

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X. T. Wu, D. B. Abraham, J. O. Indekeu. 2016-01-03. Apparent first-order wetting and anomalous scaling in the two-dimensional Ising model. https://doi.org/10.1103/physrevlett.116.046101

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